13852755481041 has 243 divisors, whose sum is σ = 23592451282491. Its totient is φ = 7829271191808.

The previous prime is 13852755481027. The next prime is 13852755481057. The reversal of 13852755481041 is 14018455725831.

The square root of 13852755481041 is 3721929.

It is a perfect power (a square), and thus also a powerful number.

13852755481041 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 2 + 7 + 554 + 81 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10785017243025 + 3067738238016 = 3284055^2 + 1751496^2 .

It is not a de Polignac number, because 13852755481041 - 2¹¹ = 13852755478993 is a prime.

It is a super-2 number, since 2×13852755481041² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13852755481001) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 82950631540 + ... + 82950631706.

Almost surely, 2^{13852755481041} is an apocalyptic number.

13852755481041 is the 3721929-th square number.

13852755481041 is the 1860965-th centered octagonal number.

It is an amenable number.

13852755481041 is a deficient number, since it is larger than the sum of its proper divisors (9739695801450).

13852755481041 is a wasteful number, since it uses less digits than its factorization.

13852755481041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

It can be divided in two parts, 13852755 and 481041, that added together give a square (14333796 = 3786²).

The spelling of 13852755481041 in words is "thirteen trillion, eight hundred fifty-two billion, seven hundred fifty-five million, four hundred eighty-one thousand, forty-one".